Geodesic
Compositions of Measures on the Simplest Nilpotent Group
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 3, pp. 531-539

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Two measures $\mu_1$ and $\mu_2$ defined on the simplest nilpotent group are considered (see section 1). In the paper we discuss the conditions which are necessary and sufficient for the distance between distribution functions of the measures $\mu_1^m$ and $\mu _2^m$ to tend to zero as $m\to\infty$. These conditions are given in Theorems 1 and 2. 
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     author = {V. N. Tutubalin},
     title = {Compositions of {Measures} on the {Simplest} {Nilpotent} {Group}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {531--539},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {1964},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1964_9_3_a10/}
}
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V. N. Tutubalin. Compositions of Measures on the Simplest Nilpotent Group. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 3, pp. 531-539. http://geodesic.mathdoc.fr/item/TVP_1964_9_3_a10/